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Sloan [31]
3 years ago
9

if a rectangle is twice as long as it wide and has a perimeter of 48 inches, what is the area of the rectangle​

Mathematics
1 answer:
luda_lava [24]3 years ago
4 0

Answer: 128 in^{2}

Step-by-step explanation:

Let the width be W then the length will be 2W since it is twice as long as it width.

The formula for calculating the perimeter of a rectangle is given by :

P = 2 ( L + W )

48 = 2 ( W + 2W )

48 = 2(3W)

48 = 6W

Divide through by 6

Therefore:

W = 48/6

W = 8 inches

This means that the Length is 2 x 8 = 16 inches

Area = Length x breadth

Area = 16 x 8

Area = 128 in^{2}

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If the height of the building is 250 feet and the sun makes a 49 degree angle with the ground as shown in the image below, what
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Read it and solve it for me
AnnyKZ [126]

Answer:

a. y + 9 + x + y + x + 4 + x + 5 = 2x + 2y + 18

b. 30.4cm

c. Area of big rectangle = 9y cm², Area of small rectangle = 4x cm²

d. a = 9y + 4x

e. a = 38.8

Step-by-step explanation:

a. Perimeter = y + 9 + x + y + x + 4 + x + 5

                     = x + x + y + y + 9 + 4 + 5

                     = 2x + 2y + 18

b. 2x + 2y + 18 = 2(3.4) + 2(2.8) + 18

                        = 6.8 + 5.6 + 18

                        = 30.4cm

c. Formula for area of rectangle: length × breadth

Area of big rectangle = 9 × y

                                    = 9y cm²

Area of small rectangle = 4 × x

                                       = 4x cm²

d. a cm² = (9y + 4x)cm²

e. a = 9y + 4x

      = 9(2.8) + 4(3.4)

      = 25.2 + 13.6

      = 38.8

4 0
3 years ago
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